Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T04:17:05.385Z Has data issue: false hasContentIssue false
  • English
  • Français

The lateral migration of a spherical particle in two-dimensional shear flows

Published online by Cambridge University Press:  11 April 2006

P. Vasseur  and
R. G. Cox
P. Vasseur
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Quebec, Canada Present address: Department of Civil Engineering, Ecole Polytechnique, Montreal Quebec, Canada.
R. G. Cox
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Quebec, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

The lateral migration of a solid spherical particle suspended in a fluid flowing between parallel vertical walls is investigated theoretically using a method developed by Cox & Brenner (1968). Buoyant and neutrally buoyant, freely rotating and non-rotating particles in the fluid flow are considered as is also the case of a sedimenting particle in a quiescent fluid. The results obtained are applied to the special cases of plane Poiseuille flow and of plane shear flow, these situations being investigated in detail.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 2 , 23 November 1976 , pp. 385 - 413
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Brenner, H. 1966 Adv. Chem. Engng, 6, 287.
Cox, R. G. & Brenner, H. 1968 Chem. Engng Sci. 23, 147.
Cox, R. G. & Hsu, S. K. 1975 (to be published).
Denson, C. D., Christiansen, E. B. & Salt, D. L. 1966 A.I.Ch.E. J. 12, 589.
Eichhorn, R. & Small, S. 1964 J. Fluid Mech. 20, 513.
Halow, J. S. 1968 Ph.D. dissertation, Virginia Polytechnic Institute.
Halow, J. S. & Wills, G. B. 1970a A.I.Ch.E. J. 16, 281.
Halow, J. S. & Wills, G. B. 1970b Ind. Engng Chem. Fund. 9, 603.
Ho, B. P. & Leal, L. G. 1974 J. Fluid Mech. 65, 365.
Jeffrey, R. C. & Pearson, J. R. A. 1965 J. Fluid Mech. 22, 721.
Karnis, A., Goldsmith, H. L. & Mason, S. G. 1966a Can. J. Chem. Engng, 44, 181.
Karnis, A., Goldsmith, H. L. & Mason, S. G. 1966b J. Colloid Interface Sci. 22, 531.
Oliver, D. R. 1962 Nature, 194, 1269.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.
Repetti, R. V. & Leonard, E. F. 1964 Nature, 203, 1346.
Repetti, R. V. & Leonard, E. F. 1966 Chem. Engng Prog. Symp. Ser. 62, 80.
Rubinow, S. I. & Keller, J. B. 1961 J. Fluid Mech. 11, 447.
Saffman, P. G. 1965 J. Fluid Mech. 22, 285.
Segré, G. & Silberberg, A. 1961 Nature, 189, 209.
Segré, G. & Silberberg, A. 1962 J. Fluid Mech. 14, 115.
Tachibana, M. 1973 Rheol. Acta, 12, 58.
Theodore, L. 1964 Eng. Sc.D. dissertation, New York University, New York.
Vasseur, P. 1973 Ph.D. dissertation, McGill University, Montreal.
Yanizeski, G. M. 1968 Ph.D. dissertation, Carnegie-mellon University.